Understanding Probability and Equality in Binary Choices

In summary, the conversation was about the probability of having the same number of results in 2n binary choices. It was mentioned that for the case of n=1 million, the probability can be as high as 1/2000, which may be a concern for voting. Some people interpret this as there being a hidden dictator, but it is impossible to know who made the deciding choice.
  • #1
jk22
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24
Suppose we have 2n binary choices. Then the probability of having the same number of results is :

C(2n,n)/2^(2n) ?

I don't know if this is true, since for the case n=1million, we have a probability as high as 1/2000, which seems quite important ?
 
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  • #2
jk22 said:
Suppose we have 2n binary choices. Then the probability of having the same number of results is :

C(2n,n)/2^(2n) ?

I don't know if this is true, since for the case n=1million, we have a probability as high as 1/2000, which seems quite important ?

Your estimate seems about right. What is that a concern?
 
  • #3
this was about votations : if we suppose 2 million 1 people vote a law then the highest probability is that only 1 voice makes the difference. I heard some people intepret this as there exist a sort of hidden dictator, but in fact we don't know who made the balance choice.
 

FAQ: Understanding Probability and Equality in Binary Choices

What is "equality in binary choices"?

"Equality in binary choices" refers to the concept of treating two options or groups as equally valid and giving them equal consideration or opportunity. It can also refer to the idea of fairness and non-discrimination in situations where there are only two possible outcomes.

How is "equality in binary choices" relevant in society?

"Equality in binary choices" is relevant in society as it promotes fairness and equal opportunity for all individuals regardless of their gender, race, or other characteristics. It ensures that everyone is given equal consideration and is not discriminated against because of their differences.

What are some examples of "equality in binary choices"?

Some examples of "equality in binary choices" include providing equal job opportunities for men and women, treating all individuals equally in legal proceedings, and giving the same rights and benefits to all citizens regardless of their race or sexual orientation.

How does "equality in binary choices" relate to diversity and inclusion?

"Equality in binary choices" is closely related to diversity and inclusion as it promotes the acceptance and fair treatment of all individuals, regardless of their differences. By embracing diversity and promoting equality, society becomes more inclusive and provides equal opportunities for all.

What challenges exist in achieving "equality in binary choices"?

Some challenges in achieving "equality in binary choices" include deep-rooted societal biases and discrimination, lack of awareness and education, and systems and institutions that perpetuate inequality. It requires ongoing efforts and a collective commitment to overcome these challenges and achieve true equality for all.

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